{"id":"https://openalex.org/W2103672432","doi":"https://doi.org/10.1109/tsp.2011.2167617","title":"Instantaneous Erasures in Oversampled Filter Banks: Conditions for Output Perfect Reconstruction","display_name":"Instantaneous Erasures in Oversampled Filter Banks: Conditions for Output Perfect Reconstruction","publication_year":2011,"publication_date":"2011-09-21","ids":{"openalex":"https://openalex.org/W2103672432","doi":"https://doi.org/10.1109/tsp.2011.2167617","mag":"2103672432"},"language":"en","primary_location":{"id":"doi:10.1109/tsp.2011.2167617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2167617","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5039506035","display_name":"Mohsen Akbari","orcid":"https://orcid.org/0000-0003-2902-6557"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Mohsen Akbari","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051595564","display_name":"Fabrice Labeau","orcid":"https://orcid.org/0000-0001-5814-9156"},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Fabrice Labeau","raw_affiliation_strings":["Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, McGill University, Montreal, QUE, Canada","institution_ids":["https://openalex.org/I5023651"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, QC, Canada","institution_ids":["https://openalex.org/I5023651"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5039506035"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":null,"apc_paid":null,"fwci":1.2249,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79639364,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"59","issue":"12","first_page":"5800","last_page":"5813"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10688","display_name":"Image and Signal Denoising Methods","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9929999709129333,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.9118613004684448},{"id":"https://openalex.org/keywords/filter-bank","display_name":"Filter bank","score":0.7504527568817139},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6326199769973755},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.5655394196510315},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.5477293729782104},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5434830188751221},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.5379178524017334},{"id":"https://openalex.org/keywords/signal-reconstruction","display_name":"Signal reconstruction","score":0.42825233936309814},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.4193379282951355},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4182316064834595},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34406474232673645},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.3032306730747223},{"id":"https://openalex.org/keywords/signal-processing","display_name":"Signal processing","score":0.2486554980278015},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11888039112091064},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.10878393054008484},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.08178108930587769}],"concepts":[{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.9118613004684448},{"id":"https://openalex.org/C100515483","wikidata":"https://www.wikidata.org/wiki/Q3268235","display_name":"Filter bank","level":3,"score":0.7504527568817139},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6326199769973755},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.5655394196510315},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.5477293729782104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5434830188751221},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.5379178524017334},{"id":"https://openalex.org/C70958404","wikidata":"https://www.wikidata.org/wiki/Q7512728","display_name":"Signal reconstruction","level":4,"score":0.42825233936309814},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.4193379282951355},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4182316064834595},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34406474232673645},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.3032306730747223},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.2486554980278015},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11888039112091064},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.10878393054008484},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.08178108930587769},{"id":"https://openalex.org/C554190296","wikidata":"https://www.wikidata.org/wiki/Q47528","display_name":"Radar","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsp.2011.2167617","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsp.2011.2167617","pdf_url":null,"source":{"id":"https://openalex.org/S168680287","display_name":"IEEE Transactions on Signal Processing","issn_l":"1053-587X","issn":["1053-587X","1941-0476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Signal Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W103068095","https://openalex.org/W1481646516","https://openalex.org/W1966245736","https://openalex.org/W1976318178","https://openalex.org/W1989995562","https://openalex.org/W2035180740","https://openalex.org/W2078527571","https://openalex.org/W2079879193","https://openalex.org/W2088237634","https://openalex.org/W2096971955","https://openalex.org/W2105037400","https://openalex.org/W2107348501","https://openalex.org/W2108148759","https://openalex.org/W2113272548","https://openalex.org/W2116701188","https://openalex.org/W2118368035","https://openalex.org/W2118799423","https://openalex.org/W2119533424","https://openalex.org/W2124523346","https://openalex.org/W2134524318","https://openalex.org/W2134665668","https://openalex.org/W2137694210","https://openalex.org/W2145592457","https://openalex.org/W2146483404","https://openalex.org/W2147433850","https://openalex.org/W2148532460","https://openalex.org/W2152297087","https://openalex.org/W2152611675","https://openalex.org/W2161298425","https://openalex.org/W2161927871","https://openalex.org/W2163324071","https://openalex.org/W2163420159","https://openalex.org/W2166470077","https://openalex.org/W2172023570","https://openalex.org/W2491600749","https://openalex.org/W2500965032","https://openalex.org/W4232686722","https://openalex.org/W6681864160"],"related_works":["https://openalex.org/W2372190485","https://openalex.org/W2583282232","https://openalex.org/W2962908977","https://openalex.org/W2140357074","https://openalex.org/W2014314340","https://openalex.org/W2113562070","https://openalex.org/W2953350338","https://openalex.org/W2810502498","https://openalex.org/W2028268383","https://openalex.org/W2743670993"],"abstract_inverted_index":{"In":[0,58,144],"this":[1,54,123,127,145,149],"paper,":[2,146],"we":[3,51,147,172,194],"aim":[4],"at":[5,142],"finding":[6],"the":[7,29,47,59,62,83,86,92,111,187,202,206],"conditions":[8,197,208],"that":[9,109,133],"an":[10,183],"oversampled":[11],"filter":[12,64,98,213],"bank":[13],"(OFB)":[14],"should":[15],"satisfy,":[16],"in":[17,28,53,70,126,167],"order":[18],"to":[19,91,107,153,161],"maintain":[20],"its":[21,101],"perfect":[22,191,199],"reconstruction":[23,192,200],"property":[24],"when":[25],"erasures":[26],"happen":[27],"subband":[30,78,115,157],"domain.":[31],"This":[32,104],"problem":[33],"has":[34],"been":[35,117],"addressed":[36],"before":[37],"mainly":[38],"from":[39,96],"frame-theoretic":[40,60],"point":[41],"of":[42,49,85,113,151,177,190,201,212],"view":[43],"and":[44,76,99,122,171,204,220],"only":[45],"for":[46,198,209],"case":[48],"what":[50],"call":[52],"paper":[55],"classic":[56,226],"erasure.":[57,181,227],"approach,":[61],"stable":[63],"banks":[65],"are":[66,159],"associated":[67],"with":[68,217,222],"frames":[69],"\u2113":[71],"<sup":[72],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2</sup>":[74],"(\\BBZ)":[75],"a":[77,114,154,174],"erasure":[79,152,178],"is":[80,105,124,130,136],"defined":[81],"as":[82],"deletion":[84],"frame":[87,93],"expansion":[88],"coefficients":[89],"corresponding":[90],"vectors":[94],"resulting":[95],"each":[97,134,168],"all":[100,110],"translated":[102],"versions.":[103],"equivalent":[106],"assuming":[108],"samples":[112],"have":[116],"completely":[118],"lost":[119],"(classic":[120],"erasure)":[121],"why":[125],"approach":[128,184],"it":[129],"always":[131],"assumed":[132],"channel":[135],"either":[137],"working":[138],"perfectly":[139],"or":[140,164],"not":[141],"all.":[143],"extend":[148],"notion":[150],"situation":[155],"where":[156],"channels":[158],"allowed":[160],"be":[162],"on":[163,186],"off":[165],"arbitrarily":[166],"time":[169],"instance":[170],"define":[173],"new":[175],"type":[176],"called":[179],"instantaneous":[180],"Using":[182],"based":[185],"time-domain":[188],"analysis":[189],"property,":[193],"introduce":[195],"general":[196],"output":[203],"also":[205],"sufficient":[207],"two":[210],"classes":[211],"banks:":[214],"Causal":[215],"OFBs":[216,221],"causal":[218],"inverse":[219],"maximum":[223],"robustness":[224],"against":[225]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}